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This lecture covers the concept of heaps, including max-heap and min-heap, storing heaps in arrays, maintaining the heap property, pseudo-code and analysis of max-heapify, building a heap, correctness of heap operations, heapsort algorithm, and its implementation details. The instructor explains how heapsort runs in O(nlog n) time, its comparison with quicksort, and the efficiency of heaps in implementing priority queues.
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